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Abstract: Numerical evidence of directed transport driven by symmetric Levy noise intime-independent ratchet potentials in the absence of an external tilting forceis presented. The results are based on the numerical solution of the fractionalFokker-Planck equation in a periodic potential and the corresponding Langevinequation with Levy noise. The Levy noise drives the system out of thermodynamicequilibrium and an up-hill net current is generated. For small values of thenoise intensity there is an optimal value of the Levy noise index yielding themaximum current. The direction and magnitude of the current can be manipulatedby changing the Levy noise asymmetry and the potential asymmetry.



Author: D. del-Castillo-Negrete, V. Yu. Gonchar, A. V. Chechkin

Source: https://arxiv.org/







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